Mary and Caroline invest $5000 into an account for 4 years. Mary’s account pays 5.5% simple interest. Caroline’s account pays 4.5% compound interest. PLEASE HELP
Mary's account will have saved after 4 years.

Caroline's account will have saved after 4 years.

Caroline thinks she will have the more money than Mary at the end of the 4 years. Is she correct?

Square Pyramid

Hence , the surface area of the square pyramid is 340 square feet

Step-by-step explanation:

The square pyramid has a square base

Given that the base side is 10 ft and the slant height of the pyramid is 12 ft.

The surface area of a square pyramid is SA, then

SA = Area of the base +  × P × Sh

where P is the perimeter of the base and Sh is the slant height of the pyramid

P = 4 × 10

SA = × 40 × 12

SA = 100 + 240

SA= 340 square feet

Hence , the surface area of the square pyramid is 340 square feet

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."